$$U_{953}(x, y) = \left(x + y\right)^{2} + 1$$

$$T_{953}(n, m, k) = \begin{cases}{\binom{k}{\frac{m}{2} + \frac{n}{2}}} {\binom{m + n}{m}}&\text{if (n+m) even} ,\ \\0 \end{cases} $$